Question 599506


One important thing about this question is that it can also be solved if it is not given that the triangle is a right triangle

Solution
Sides are in the ratio 10:24:26 so let the sides of the triangle are
10x, 24x & 26x
 perimeter of triangle is 180 cm,
so 10x + 24x + 26x = 180

60x = 180
so x = 180/60 = 3

so the smaller side of the triangle i.e. 10x = 10*3
= 30 cm